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19730850048 = 2833713219127
BaseRepresentation
bin10010011000000011…
…001110000100000000
31212221002002000221000
4102120003032010000
5310402044200143
613021512332000
71265643313110
oct223003160400
955832060830
1019730850048
118405606748
1239a79a4000
131b259bba00
14d52663040
157a7302bd3
hex4980ce100

19730850048 has 864 divisors, whose sum is σ = 76605849600. Its totient is φ = 4891041792.

The previous prime is 19730850037. The next prime is 19730850071. The reversal of 19730850048 is 84005803791.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 19730849985 and 19730850012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155360961 + ... + 155361087.

Almost surely, 219730850048 is an apocalyptic number.

19730850048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19730850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38302924800).

19730850048 is an abundant number, since it is smaller than the sum of its proper divisors (56874999552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19730850048 is a wasteful number, since it uses less digits than its factorization.

19730850048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19730850048 in words is "nineteen billion, seven hundred thirty million, eight hundred fifty thousand, forty-eight".